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how to do "construction" problems?
Posted:
Aug 16, 2010 7:45 AM


I recently picked up a copy of Nathan Altshiller Court's "College Geometry". Trying to work the exercises I realize that they are somewhat foreign to me in what they ask so I am not sure how to formulate the solutions. He discusses the method of Analysis, Construction, Proof, Discussion in doing these problems but I am still not sure I am doing them right. For example, Problem: Construct a triangle given a, B, C My solution: Analysis: Given the side a and the two vertex angles B and C the corresponding sides b and c complete the triangle Construction: Construct sides b and c to form triangle ABC Proof: Follows immediately from the definition of a triangle Discussion: I am not sure if this is how to formulate the solution.
Is my solution correct and is this how these things are done? Any advice?
Thanks!



